Certificate for #3487 ⟨a, b, c | bb=aa, aca=b⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1

Axiom: bb=aa.

Referenced by [3].

Axiom: aca=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [1] bb=aa with [2] b=aca:

Critical pair: acab=aa.

Reduce LHS:

Defines rule #2.

Referenced by [4].

Overlap of [3] acaaca=aa with [3] acaaca=aa:

Critical pair: acaaa=aaaca.

Defines rule #1.